Find the x and y Intercepts y=|3x-7|

Problem

y=|3*x−7|

Solution

1. Find the y-intercept by setting x=0 in the equation.

y=|3*(0)−7|

y=|−7|

y=7

2. Find the x-intercept by setting y=0 in the equation.

0=|3*x−7|

3. Solve for x by removing the absolute value bars, since the absolute value of an expression is zero only if the expression itself is zero.

3*x−7=0

3*x=7

x=7/3

Final Answer

x-intercept: *(7/3,0), y-intercept: *(0,7)

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